Concept explainers
A vessel is in the shape of a right circular cone. This vessel contains liquid to a depth of 12.8 centimeters, as shown. How many liters of liquid must be added in order to fill the vessel? One liter contains 1000 cubic centimeters.
The amount of liquid needs to be added to fill the vessel completely.
Answer to Problem 13A
Explanation of Solution
Given:
Concept used:
The volume of a right circular cone is
Where, h = height, and AB = Base area.
Calculation:
The base area is
Now, the base area of the cone is
The total volume of the vessel is
Now, the base area of cone up to it contains liquid is
The volume of the vessel is
Thus, the remaining amount of liquid that is needed to fill the vessel is
Thus, the amount of liquid is to be added in liters is
Conclusion:
Hence, the amount of liquid is 0.80 L.
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